Parabolic Raynaud Bundles
نویسنده
چکیده
Let X be an irreducible smooth projective curve defined over complex numbers, S = {p1, p2, . . . , pn} ⊂ X a finite set of closed points and N ≥ 2 a fixed integer. For any pair (r, d) ∈ N × 1 N Z, there exists a parabolic vector bundle Rr,d,∗ on X , with parabolic structure over S and all parabolic weights in 1 N Z, that has the following property: Take any parabolic vector bundle E∗ of rank r on X whose parabolic points are contained in S, all the parabolic weights are in 1 N Z and the parabolic degree is d. Then E∗ is parabolic semistable if and only if there is no nonzero parabolic homomorphism from Rr,d,∗ to E∗.
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